FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

PHYS 5103: Advanced Mechanics (Fall 2016, University of Arkansas). 2016 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR.

0

1

Created by
OpenCoursa

September 23, 2023

UK

0

(

ratings

)

1

students

Created by:

Profile Photo

Last updated:

September 23, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

PHYS 5103: Advanced Mechanics (Fall 2016, University of Arkansas). 2016 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR.

These videos are a component of the graduate course PHYS 5103 - "Advanced Mechanics" using the text "Classical Mechanics with a Bang!", both developed by Prof. William G. Harter. The class provides a geometric approach to classical mechanics. Geometry helps to clarify the calculus and physics of mechanics and shows that the symmetry principles behind classical theory also underlie quantum theory.

Course Curriculum

  • Lecture 01 – 1st Axioms and Theorems of Classical Mechanics Unlimited
  • Lecture 02 – Analysis of 1D 2-Body Collisions I Unlimited
  • Lecture 03 – Analysis of 1D 2-Body Collisions II: Reflection Groups Unlimited
  • Lecture 04 – Kinetic Derivation of 1D Potentials and Force Fields Unlimited
  • Lecture 05 – Dynamics of Potentials and Force Fields Unlimited
  • Lecture 06 – Geometry of Common Power-law Potentials Unlimited
  • Lecture 07 – Kepler Geometry of Isotropic Harmonic Oscillator (IHO) Elliptical Orbits Unlimited
  • Lecture 08 – Quadratic Form Geometry and Development of Mechanics of Lagrange and Hamilton Unlimited
  • Lecture 09 – Equations of Lagrange and Hamilton Mechanics in Generalized Curvilinear Coordinates Unlimited
  • Lecture 10 – Hamiltonian vs. Lagrange Mechanics in Generalized Curvilinear Coordinates Unlimited
  • Lecture 11 – Poincare, Lagrange, Hamiltonian, and Jacobi Mechanics Unlimited
  • Lecture 12 – Complex Variables, Series, and Field Coordinates I Unlimited
  • Lecture 13 – Complex Variables, Series, and Field Coordinates II Unlimited
  • Lecture 14 – Introducing GCC Lagrangian a la Trebuchet Dynamics Unlimited
  • Lecture 15 – GCC Lagrange and Riemann Equations for Trebuchet Unlimited
  • Lecture 16 – Hamilton Equations for Trebuchet and Other Things Unlimited
  • Lecture 17 – Riemann-Christoffel Equations and Covariant Derivative Unlimited
  • Lecture 18 – Electromagnetic Lagrangian and Charge-field Mechanics Unlimited
  • Lecture 19 – Classical Constraints: Comparing Various Methods Unlimited
  • Lecture 20 – Introduction to Classical Oscillation and Resonance Unlimited
  • Lecture 21 – Introduction to Coupled Oscillation and Eigenmodes Unlimited
  • Lecture 22 – Introduction to Spinor-Vector Resonance Dynamics Unlimited
  • Lecture 23 – U(2)~R(3) Algebra/Geometry in Classical or Quantum Theory Unlimited
  • Lecture 24 – Parametric Resonance and Multi-particle Wave Modes Unlimited
  • Lecture 25 – Introduction to Orbital Dynamics Unlimited
  • Lecture 26 – Geometry and Symmetry of Coulomb Orbital Dynamics I Unlimited
  • Lecture 27 – Geometry and Symmetry of Coulomb Orbital Dynamics II Unlimited
  • Lecture 28 – Multi-particle and Rotational Dynamics Unlimited
  • Lecture 30 – Relawavity and a Novel Introduction to Relativistic Mechanics I Unlimited
  • Lecture 31 – Relawavity and a Novel Introduction to Relativistic Mechanics II Unlimited

About the instructor

5 5

Instructor Rating

6

Reviews

4637

Courses

24151

Students

Profile Photo
OpenCoursa
We are an educational and skills marketplace to accommodate the needs of skills enhancement and free equal education across the globe to the millions. We are bringing courses and trainings every single day for our users. We welcome everyone woth all ages, all background to learn. There is so much available to learn and deliver to the people.